SIMPSON’S TYPE INEQUALITY FOR F-CONVEX FUNCTION

Mehmet Zeki Sarıkaya, Tuba Tunç, Hüseyin Budak

DOI Number
10.22190/FUMI1705747S
First page
747
Last page
753

Abstract


In this paper, we obtain Simpson’s type inequality for the function whose
second derivatives absolute values are F-convex. Then, we give some special cases of
the mappings F.


Keywords

Simpson’s inequality, F-convex

Full Text:

PDF

References


B. Defnetti, Sulla strati cazioni convesse, Ann. Math. Pura. Appl. 30 (1949) 173-183.

S.S. Dragomir, R.P. Agarwal and P. Cerone, On Simpson’s inequality and applications, J. of Inequal. Appl., 5(2000), 533-579.

H. Hudzik, L. Maligranda, Some remarks on s-convex functions, Aequationes Math. 48 (1994) 100-111.

D.H. Hyers, S.M. Ulam, Approximately convex functions, Proc. Amer. Math. Soc. 3 (1952) 821-828.

O.L. Mangasarian, Pseudo-convex functions, SIAM Journal on Control. 3 (1965) 281-290.

B. T. Polyak, Existence theorems and convergence of minimizing sequences in extremum problems with restrictions, Soviet Math. Dokl. 7 (1966) 72-75.

B. Samet, On an implicit convexity concept and some integral inequalities, Journal of Inequalities and Applications, (2016) 2016:308.

M.Z. Sarikaya, E. Set, M. Emin Ozdemir, On new inequalities of Simpson’s type for functions whose second derivatives absolute values are convex, Journal of Applied Mathematics, Statistics and Informatics, 9 (2013), No.1.

S. Varosanec, On h-convexity, J. Math. Anal. Appl. 326 (1) (2007) 303-311.




DOI: https://doi.org/10.22190/FUMI1705747S

Refbacks

  • There are currently no refbacks.




© University of Niš | Created on November, 2013
ISSN 0352-9665 (Print)
ISSN 2406-047X (Online)